Represent √9.4 on a number line.
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Answer:
Step-by-step explanation:
Representation of √9.4 on real number line steps involved: (i) Draw and line and mark A on it (ii) Mark a point B on the line drawn in step (i) such that AB =9. 4 units (iii) Mark a point C on AB produced such that BC = 1 unit. (iv) Find midpoint of AC. Let the midpoint be O. => AC = AB + BC = 9. 4 + 1 = 10 .4 units => AD = OC = AC/2 = 10.4/2 = 5.2 units (v) Taking O as the center and OC = OA as radius draw a semi-circle. Also draw a line passing through B perpendicular to OB. Suppose it cuts the semi-circle at D. Consider triangle OBD, it is right angled at B. (vi) Taking B as center and BD as radius draw an arc cutting OC produced at E so obtained represents √9 .4 as BD = BE = √9.4 = radius Thus, E represents the required point on the real number line